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42471504504 = 233211134787767
BaseRepresentation
bin100111100011011111…
…111011101001111000
311001121220121222022100
4213203133323221320
51143440201121004
631302223423400
73032324555202
oct474337735170
9131556558270
1042471504504
1117015069a50
128293754b60
13400b115770
1420ac921772
151188984739
hex9e37fba78

42471504504 has 192 divisors, whose sum is σ = 138013424640. Its totient is φ = 11627239680.

The previous prime is 42471504503. The next prime is 42471504511. The reversal of 42471504504 is 40540517424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42471504503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440029 + ... + 527795.

It is an arithmetic number, because the mean of its divisors is an integer number (718819920).

Almost surely, 242471504504 is an apocalyptic number.

42471504504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42471504504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69006712320).

42471504504 is an abundant number, since it is smaller than the sum of its proper divisors (95541920136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42471504504 is a wasteful number, since it uses less digits than its factorization.

42471504504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87850 (or 87843 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 42471504504 in words is "forty-two billion, four hundred seventy-one million, five hundred four thousand, five hundred four".